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34237920420 = 223251121571989
BaseRepresentation
bin11111111000101111…
…010011010010100100
310021101002200120021200
4133320233103102210
51030104401423140
623421221242500
72321306343654
oct377057232244
9107332616250
1034237920420
111357a460400
126776263430
1332c8389c12
14192b212364
15d55be9030
hex7f8bd34a4

34237920420 has 108 divisors (see below), whose sum is σ = 114154769820. Its totient is φ = 8300096640.

The previous prime is 34237920419. The next prime is 34237920421. The reversal of 34237920420 is 2402973243.

It is a happy number.

34237920420 is a `hidden beast` number, since 3 + 423 + 7 + 9 + 204 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (34237920419) and next prime (34237920421).

It can be written as a sum of positive squares in 2 ways, for example, as 11673073764 + 22564846656 = 108042^2 + 150216^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (34237920421) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 764215 + ... + 807774.

Almost surely, 234237920420 is an apocalyptic number.

34237920420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34237920420 is an abundant number, since it is smaller than the sum of its proper divisors (79916849400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34237920420 is a wasteful number, since it uses less digits than its factorization.

34237920420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1572026 (or 1572010 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 34237920420 in words is "thirty-four billion, two hundred thirty-seven million, nine hundred twenty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 121 132 165 180 198 220 242 330 363 396 484 495 605 660 726 990 1089 1210 1452 1815 1980 2178 2420 3630 4356 5445 7260 10890 21780 1571989 3143978 4715967 6287956 7859945 9431934 14147901 15719890 17291879 18863868 23579835 28295802 31439780 34583758 47159670 51875637 56591604 69167516 70739505 86459395 94319340 103751274 141479010 155626911 172918790 190210669 207502548 259378185 282958020 311253822 345837580 380421338 518756370 570632007 622507644 760842676 778134555 951053345 1037512740 1141264014 1556269110 1711896021 1902106690 2282528028 2853160035 3112538220 3423792042 3804213380 5706320070 6847584084 8559480105 11412640140 17118960210 34237920420